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On the strongly countable-dimensionality of μ-spaces
Published online by Cambridge University Press: 18 May 2009
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Nagata in [3] defined strongly countable-dimensional spaces which are the countable union of closed finite-dimensional subspaces. Walker and Wenner in [7] characterized such metric spaces as follows: a space X is a strongly countable-dimensional metric space if and only if there exists a finite-to-one closed mapping of a zero-dimensional metric space onto X with weak local order.
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- Copyright © Glasgow Mathematical Journal Trust 1984